406211200 has 96 divisors (see below), whose sum is σ = 1020409020. Its totient is φ = 159744000.

The previous prime is 406211173. The next prime is 406211227. The reversal of 406211200 is 2112604.

It is an interprime number because it is at equal distance from previous prime (406211173) and next prime (406211227).

It can be written as a sum of positive squares in 6 ways, for example, as 31091776 + 375119424 = 5576^2 + 19368^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194160 + ... + 196240.

Almost surely, 2^406211200 is an apocalyptic number.

406211200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510204510).

406211200 is an abundant number, since it is smaller than the sum of its proper divisors (614197820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406211200 is a wasteful number, since it uses less digits than its factorization.

406211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 406211200 is about 20154.6818382231. The cubic root of 406211200 is about 740.6004379209.

Adding to 406211200 its reverse (2112604), we get a palindrome (408323804).

The spelling of 406211200 in words is "four hundred six million, two hundred eleven thousand, two hundred".